360922075141680 has 1440 divisors, whose sum is σ = 1357682746492800. Its totient is φ = 85830796247040.

The previous prime is 360922075141583. The next prime is 360922075141703. The reversal of 360922075141680 is 86141570229063.

It is a happy number.

360922075141680 is a `hidden beast` number, since 3 + 6 + 0 + 92 + 20 + 7 + 514 + 16 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 362008098942 + ... + 362008099938.

It is an arithmetic number, because the mean of its divisors is an integer number (942835240620).

It is a 1-persistent number, because it is pandigital, but 2⋅360922075141680 = 721844150283360 is not.

Almost surely, 2^{360922075141680} is an apocalyptic number.

360922075141680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360922075141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678841373246400).

360922075141680 is an abundant number, since it is smaller than the sum of its proper divisors (996760671351120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

360922075141680 is a wasteful number, since it uses less digits than its factorization.

360922075141680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 360922075141680 in words is "three hundred sixty trillion, nine hundred twenty-two billion, seventy-five million, one hundred forty-one thousand, six hundred eighty".